115610905044000 has 960 divisors, whose sum is σ = 452784187215360. Its totient is φ = 28806758092800.

The previous prime is 115610905043999. The next prime is 115610905044017. The reversal of 115610905044000 is 440509016511.

115610905044000 is a `hidden beast` number, since 1 + 1 + 5 + 6 + 109 + 0 + 504 + 40 + 0 + 0 = 666.

It is a super-3 number, since 3×115610905044000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 449259369 + ... + 449516631.

It is an arithmetic number, because the mean of its divisors is an integer number (471650195016).

Almost surely, 2^{115610905044000} is an apocalyptic number.

115610905044000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115610905044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226392093607680).

115610905044000 is an abundant number, since it is smaller than the sum of its proper divisors (337173282171360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

115610905044000 is a wasteful number, since it uses less digits than its factorization.

115610905044000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257392 (or 257365 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 115610905044000 in words is "one hundred fifteen trillion, six hundred ten billion, nine hundred five million, forty-four thousand".